Highest Common Factor of 6882, 8465, 52588 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6882, 8465, 52588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6882, 8465, 52588 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 6882, 8465, 52588 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 6882, 8465, 52588 is 1.

HCF(6882, 8465, 52588) = 1

HCF of 6882, 8465, 52588 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6882, 8465, 52588 is 1.

Highest Common Factor of 6882,8465,52588 using Euclid's algorithm

Highest Common Factor of 6882,8465,52588 is 1

Step 1: Since 8465 > 6882, we apply the division lemma to 8465 and 6882, to get

8465 = 6882 x 1 + 1583

Step 2: Since the reminder 6882 ≠ 0, we apply division lemma to 1583 and 6882, to get

6882 = 1583 x 4 + 550

Step 3: We consider the new divisor 1583 and the new remainder 550, and apply the division lemma to get

1583 = 550 x 2 + 483

We consider the new divisor 550 and the new remainder 483,and apply the division lemma to get

550 = 483 x 1 + 67

We consider the new divisor 483 and the new remainder 67,and apply the division lemma to get

483 = 67 x 7 + 14

We consider the new divisor 67 and the new remainder 14,and apply the division lemma to get

67 = 14 x 4 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6882 and 8465 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(67,14) = HCF(483,67) = HCF(550,483) = HCF(1583,550) = HCF(6882,1583) = HCF(8465,6882) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 52588 > 1, we apply the division lemma to 52588 and 1, to get

52588 = 1 x 52588 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52588 is 1

Notice that 1 = HCF(52588,1) .

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Frequently Asked Questions on HCF of 6882, 8465, 52588 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 6882, 8465, 52588?

Answer: HCF of 6882, 8465, 52588 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6882, 8465, 52588 using Euclid's Algorithm?

Answer: For arbitrary numbers 6882, 8465, 52588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.